Extremal Higgs couplings

2023/11/15 by Joan Elias Miro, Miro, Joan Elias, Andrea L. Guerrieri +3 · 4 citations
Medicine · Mathematics · #Medical Imaging Techniques and Applications #Spectral Theory in Mathematical Physics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2311.09283

Abstract

We critically assess to what extent it makes sense to bound the Wilson coefficients of dimension-six operators. In the context of Higgs physics, we establish that a closely related observable, c_H, is well-defined and satisfies a two-sided bound. c_H is derived from the low momentum expansion of the scattering amplitude, or the derivative of the amplitude at the origin with respect to the Mandelstam variable s, expressed as M(H_iH_i→ H_jH_j)=c_H s +O(g_SM, s^-2) where g_SM represents all Standard Model couplings. This observable is non-dispersive and, as a result, not sign-definite. We also determine the conditions under which the bound on c_H is equivalent to a bound on the dimension-six operator O_H=∂| H|² ∂ |H|².

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